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Finding the Third Proportional to 334,672,280 and 724,917,424

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Solution

The third proportional to 334,672,280 and 724,917,424 is: 1,570,208,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,672,280 : 724,917,424 = 724,917,424 : x
  2. Step 2: Convert to fraction form
    334,672,280/724,917,424 = 724,917,424/x
  3. Step 3: Cross multiply
    334,672,280x = 724,917,424 × 724,917,424
  4. Step 4: Simplify right side
    334,672,280x = 525,505,271,618,795,776
  5. Step 5: Solve for x
    x = 525,505,271,618,795,776/334,672,280
  6. Step 6: Final answer
    x = 1,570,208,538.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.